506106031033 has 2 divisors, whose sum is σ = 506106031034. Its totient is φ = 506106031032.

The previous prime is 506106031021. The next prime is 506106031063. The reversal of 506106031033 is 330130601605.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 484475857849 + 21630173184 = 696043^2 + 147072^2 .

It is a cyclic number.

It is not a de Polignac number, because 506106031033 - 2¹⁷ = 506105899961 is a prime.

It is a super-2 number, since 2×506106031033² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 506106030992 and 506106031010.

It is not a weakly prime, because it can be changed into another prime (506106031063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253053015516 + 253053015517.

It is an arithmetic number, because the mean of its divisors is an integer number (253053015517).

Almost surely, 2^506106031033 is an apocalyptic number.

It is an amenable number.

506106031033 is a deficient number, since it is larger than the sum of its proper divisors (1).

506106031033 is an equidigital number, since it uses as much as digits as its factorization.

506106031033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4860, while the sum is 28.

Adding to 506106031033 its reverse (330130601605), we get a palindrome (836236632638).

The spelling of 506106031033 in words is "five hundred six billion, one hundred six million, thirty-one thousand, thirty-three".